# Gauhati University 2007 B.A Philosophy FIFTH (Logic) - Question Paper

Monday, 21 January 2013 03:05Web

(Logic)

The figures in the margin indicate full marks for the ques..

Write the answers to (he 2 Halves in separate books

FIRST HALF

ans any 2 ques.

**1.**What is logic? discuss the fundamental ideas of logi

**c.**5+ 15=20

**2.**What is a truth function? discuss conjunctive, disjunctive and implicative truth

functions giving their respective truth tables. 5+15=20

**3.**

**(**Symbolize the subsequent statements (Use letters A, B, C,

**a)****D)**: 4+4=8

**(**It A does not win the game then if B wins the game then either C will not

**i)**win the game or D will not win the game.

**(**Either A will win the, game or if A does not win the 'game then 'both B

**i****i)**and C will win the game.

**(**obtain out which of the subsequent are tautologies with the help of truth tables:

**b)**4x3=12

**(**(p É q) É [~ p É (q.p)]

**i)****(**(p É q) É [p É ( p.q)]

**i****i)****(**(p Ú r )Ú [( p É q) Ú r)]

**i****i****i)****4.**Using truth table method obtain out which of the subsequent arguments are valid:

5x4=20

**i)**(p É q) É (~ p.q)

(p É q)

\(~ p.q)

**i**( p Ú q) É ( p.q)

**i)**~ ( p.q)

\ ~ ( p Ú q)

**i**( p É q).p

**i****i)**\ p É q

**i**( p Ú q) Ú q

**v)**~ ( p Ú q)

\q

SECOND HALF

ans any 2 ques.

**5.**elaborate singular and general propositions? discuss them mentioning the method

of their symbolization. 20

**6.**elaborate the 4 kinds of traditional propositions? discuss how they are related

to every other. 20

**7.**describe a set. discuss the following: 20

**(**Set inclusion

**a)****(**Set identity

**b)****(**Set membership

**c)****(**Set intersection

**d)****(**Set union

**e)****8.**Symbolize the subsequent by means of set notation: 4x 5=20

**(**Socrates is a philosopher.

**a)****(**All flowers are beautiful.

**b)****(**a few Americans are philosophers.

**c)****(**No tigers are lions.

**d)****(**All fruits and vegetables are nutritious.

**e)**Earning: Approval pending. |